Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11718224 |
| Sylow | C13 ⋊ C2×#368 |
144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16778013, #16778017, #16778022, … |
| maximal normal subgroup of | #16778013, #16778017, #16778022, … |
| maximal quotient of | C2×#13129868, C2×#13129869, #16788691, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 20865);